Regensburg 2004 – wissenschaftliches Programm

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DY: Dynamik und Statistische Physik

DY 46: Poster

DY 46.67: Poster

Donnerstag, 11. März 2004, 16:00–18:00, Poster D

Lattice-Boltzmann scheme for the dendritic growth in presence of convection — •Dmitry Medvedev and Klaus Kassner — Institut fuer Theoretische Physik / Computerorientierte Theor. Physik, Otto-von-Guericke-Universitaet Magdeburg, Postfach 4120, D-39016 Magdeburg

Dmitry Medvedev, Klaus Kassner, Otto-von-Guericke Universität Magdeburg

A combined phase-field/lattice-Boltzmann scheme is proposed to simulate dendritic growth from a supercooled melt.

The phase change part of the problem is treated with the phase-field approach of Karma and Rappel, whereas the flow of the liquid is simulated by a standard lattice-Boltzmann-BGK (LBGK) method with interactions with solid and thermal convection incorporated. To simulate conductive and convective heat transfer we use the multicomponent LBE method. The step of flow simulation can be dropped out in the case of purely diffusional growth.

Test simulations without convection reproduce the dendrite tip velocity of the exact solution.

Depending on the level of anisotropy, dendrites or doublons were obtained in the simulations.

Dendritic growth in a shear flow was simulated for different flow velocities, as well as the growth with natural thermal convection with different orientations of the crystal in the gravitational field.